AIEEE Questions and Answers with Explanation

Q:

A letter is takenout at random from 'ASSISTANT' and another is taken out from 'STATISTICS'. The probability that they are the same letter is :

A) 35/96	B) 19/90
C) 19/96	D) None of these

Answer & Explanation Answer: B) 19/90

Explanation:

$A S S I S T A N T \to A A I N S S S T T$

$S T A T I S T I C S \to A C I I S S S T T T$

Here N and C are not common and same letters can be A, I, S, T. Therefore

Probability of choosing A = $\frac{2_{C_{1}}}{9_{C_{1}}} \times \frac{1_{C_{1}}}{10_{C_{1}}}$ = 1/45

Probability of choosing I = $\frac{1}{9_{C_{1}}} \times \frac{2_{C_{1}}}{10_{C_{1}}}$ = 1/45

Probability of choosing S = $\frac{3_{C_{1}}}{9_{C_{1}}} \times \frac{3_{C_{1}}}{10_{C_{1}}}$ = 1/10

Probability of choosing T = $\frac{2_{C_{1}}}{9_{C_{1}}} \times \frac{3_{C_{1}}}{10_{C_{1}}}$ = 1/15

Hence, Required probability = $\frac{1}{45} + \frac{1}{45} + \frac{1}{10} + \frac{1}{15} = \frac{19}{90}$

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Filed Under: Probability
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97 21945

Q:

At what time, between 3 o’clock and 4 o’clock, both the hour hand and minute hand coincide each other ?

A) 3:16 7/11	B) 3:16 11/4
C) 3:30	D) 3:16 4/11

Answer & Explanation Answer: D) 3:16 4/11

Explanation:

Coincide means 00 angle.

This can be calculated using the formulafor time A to B means [11m/2 - 30 (A)]

Here m gives minutes after A the both hands coincides.

Here A = 3, B = 4

0 =11m/2 –30 × 3
11m = 90 × 2 = 180
m= 180/11 = 16 ⁴/₁₁

So time = 3 : 16 ⁴/₁₁

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Filed Under: Clocks
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33 21939

Q:

A number of cats got together and decided to kill between them 999919 rats. Every cat killed an equal number of rats. Each cat killed more rats than there were cats. How many rats do you think that each cat killed ?

A) 1009	B) 991
C) 2000	D) 1000

Answer & Explanation Answer: A) 1009

Explanation:

Given total number of rats = 999919

999919 = 1000000 - 81 = $(1000^{2} - 9^{2})$ = (1000+9)(1000-9) = 1009 x 991.
Since there were more rats than there were cats, 991 cats killed 1009 rats each.

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Filed Under: Math Puzzles
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53 21900

Q:

Eye : Myopia :: Teeth : ?

A) Cataract	B) Trachoma
C) Eczema	D) Pyorrhea

Answer & Explanation Answer: D) Pyorrhea

Explanation:

The second word is a disease of the first word.

That is here Myopia is the disease of the eyes. Similarly, Pyorrhea is the disease of the teeth.

Hence, Eye : Myopia :: Teeth : Pyorrhea.

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Filed Under: Analogy
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41 21870

Q:

Markup tags tell the web browser

A) How to display the file	B) How to organise the page
C) How to display message box on page	D) None of the above

Answer & Explanation Answer: A) How to display the file

Explanation:

Markup tags tell the web browser how to display the file.

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34 21846

Q:

A can finish a work in 18 days and B can do the same work in half the time taken by A. then, working together, what part of the same work they can finish in a day ?

A) Total work	B) One-fourth work
C) Half work	D) Two-third work

Answer & Explanation Answer: C) Half work

Explanation:

A can do the work = 18 days
B can do the work = 18/2 = 9 days
(A + B)'s 1 day work = 1/18 + 1/9 = 1/6
=> In 3 days = 3x1/6 = 1/2 work is completed.

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Filed Under: Time and Work
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30 21836

Q:

What is the Study of human beauty called?

A) Argology	B) Kalology
C) Agrostology	D) Oncology

Answer & Explanation Answer: B) Kalology

Explanation:

The Study of human beauty and the ways in which beauty influences the society is called as Kalology.

What_is_the_Study_of_human_beauty_called1556276841.jpg image

This study is focused primarily on human attractiveness, rather than the broader field of aesthetics.

Opposite of beauty is Ugly.

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Filed Under: General Awareness
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66 21815

Q:

Find the next number in the given number series?

8, 11, 19, 23, 32, ?

A) 37	B) 39
C) 47	D) 49

Answer & Explanation Answer: A) 37

Explanation:

The given number series is 8, 11, 19, 23, 32, ?

It follows a pattern that

8 + 11 = 19

11 + 12 = 23

19 + 13 = 32

23 + 14 = 37

32 + 15 = 47

....

Hence, the next number in the given series = 37.

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Filed Under: Number Series
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